Draw a diagram to illustrate the problem as shown below.
When the smaller gear rotates through a revolution, it sweeps an arc length of
2π(4) = 8π inches.
Part 1
The same arc length is swept by the larger gear. The central angle of the larger gear, x, is
7x = 8π
x = (8π)/7 radians = (8π)/7 * (180/π) = 205.7°
Answer: 205.7° (nearest tenth)
Part 2
When the larger gear makes one rotation, it sweeps an arc length of
2π(7) = 14π inches.
If the central angle for the smaller gear is y radians, then
4y = 14π
y = 3.5π radians = (3.5π)/2π revolutions = 1.75 revolutions
Answer:
The smaller gear makes 1.75 rotations
(12, 0)
12-9(0)=12
12-0=12
12=12
Step-by-step explanation:
<u>1</u><u> </u>*9^2 + 4
3
<u>1</u><u> </u>* 81 + 4
3
<u>1</u><u> </u>* 85
3
<u>85</u>
3
=28
Answer:
19
Step-by-step explanation:
7(<u>2 + 3</u>) − 4 · 2² ← like that right so
<u>parenthesis first add the numbers up↓</u>
7(5) - <u>4</u> · 2²
write number in exponential form↓
<u>7(5)</u> - 2²· 2²
multiply↓
35 - <u>2² · 2²</u>
calculate the product↓
35 - <u>2⁴</u>
evaluate the power↓
35-16
then subtract↓
19